| Autor: |
Heinz Langer, Aad Dijksma |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory ISBN: 9783030448189 |
| Popis: |
Let S be a symmetric relation with finite and equal defect numbers in the Hilbert space \(\mathfrak H\). If \(\widetilde A\) is a self-adjoint extension of S in some larger Hilbert space \(\widetilde {\mathfrak H}\), the compression of \(\widetilde A\) to \({\mathfrak H}\) is a symmetric extension of S. We study this compression in dependence of the parameter \({\mathcal T}\), which parametrizes the extensions \(\widetilde A\) according to M.G. Krein’s resolvent formula. By means of a fractional transformation, analogous results are proved for the Straus extensions of S at a real point. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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